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1034023224 = 23313113139211
BaseRepresentation
bin111101101000011…
…111000100111000
32200001200211012110
4331220133010320
54104202220344
6250334412320
734424023653
oct7550370470
92601624173
101034023224
11490751a53
1224a3610a0
131362c0480
149b48689a
1560ba23b9
hex3da1f138

1034023224 has 128 divisors (see below), whose sum is σ = 2842156800. Its totient is φ = 311592960.

The previous prime is 1034023189. The next prime is 1034023229. The reversal of 1034023224 is 4223204301.

It is a self number, because there is not a number n which added to its sum of digits gives 1034023224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034023229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4900479 + ... + 4900689.

It is an arithmetic number, because the mean of its divisors is an integer number (22204350).

Almost surely, 21034023224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034023224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421078400).

1034023224 is an abundant number, since it is smaller than the sum of its proper divisors (1808133576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1034023224 is a wasteful number, since it uses less digits than its factorization.

1034023224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1034023224 is about 32156.2314956215. The cubic root of 1034023224 is about 1011.2148320367.

Adding to 1034023224 its reverse (4223204301), we get a palindrome (5257227525).

The spelling of 1034023224 in words is "one billion, thirty-four million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 139 156 211 226 278 312 339 417 422 452 556 633 678 834 844 904 1112 1266 1356 1469 1668 1688 1807 2532 2712 2743 2938 3336 3614 4407 5064 5421 5486 5876 7228 8229 8814 10842 10972 11752 14456 15707 16458 17628 21684 21944 23843 29329 31414 32916 35256 43368 47121 47686 58658 62828 65832 71529 87987 94242 95372 117316 125656 143058 175974 188484 190744 204191 234632 286116 309959 351948 376968 381277 408382 572232 612573 619918 703896 762554 816764 929877 1143831 1225146 1239836 1525108 1633528 1859754 2287662 2450292 2479672 3050216 3314177 3719508 4575324 4900584 6628354 7439016 9150648 9942531 13256708 19885062 26513416 39770124 43084301 79540248 86168602 129252903 172337204 258505806 344674408 517011612 1034023224